On the transcendence of some power series

Gozeri G. K., Pekin A., Kilicman A.

ADVANCES IN DIFFERENCE EQUATIONS, 2013 (SCI-Expanded) identifier identifier


In this study, we consider some power series with rational coefficients and investigate transcendence of the values of these series for Liouville number arguments. It is proved that these values are either a Liouville number or a rational number under certain conditions.